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Simplifying 4z + 3 = z + -2 Reorder the terms: 3 + 4z = z + -2 Reorder the terms: 3 + 4z = -2 + z Solving 3 + 4z = -2 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 3 + 4z + -1z = -2 + z + -1z Combine like terms: 4z + -1z = 3z 3 + 3z = -2 + z + -1z Combine like terms: z + -1z = 0 3 + 3z = -2 + 0 3 + 3z = -2 Add '-3' to each side of the equation. 3 + -3 + 3z = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 3z = -2 + -3 3z = -2 + -3 Combine like terms: -2 + -3 = -5 3z = -5 Divide each side by '3'. z = -1.666666667 Simplifying z = -1.666666667
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